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Popular >

extreme x^3+9x^2

Solution

extreme points

x^{3} + 9 x^{2}

Solution

Maximum (- 6, 108), Minimum (0, 0)

Solution steps

f^{'} (x) = 3 x^{2} + 18 x

Find intervals:

Increasing

: - \infty < x < - 6,

Decreasing

: - 6 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 6

into

x^{3} + 9 x^{2} : 108

Maximum (- 6, 108)

Plug

x = 0

into

x^{3} + 9 x^{2} : 0

Minimum (0, 0)

Maximum (- 6, 108), Minimum (0, 0)

Graph

Popular Examples

extreme f(x)=x^3+y^3-27xy extreme points

f (x) = x^{3} + y^{3} - 27 x y

extreme-6/(x-7)extreme points

- \frac{6}{x - 7}

extreme f(x,y)=(x-y)(xy-1)extreme points

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extreme f(x)=9x^3-54x^2+81x+13 extreme points

f (x) = 9 x^{3} - 54 x^{2} + 81 x + 13

extreme f(x,y)=x^2-2x^3+2x^2+3xy extreme points

f (x, y) = x^{2} - 2 x^{3} + 2 x^{2} + 3 x y

Frequently Asked Questions (FAQ)

What is the extreme x^3+9x^2 ?
The extreme x^3+9x^2 is Maximum(-6,108),Minimum(0,0)